Temat: gradient dynamical system - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Mathematical model of architecture and learning processes of artificial neural networks
Autorzy:: Bielecki, A.
Powiązania:: https://bibliotekanauki.pl/articles/1931575.pdf
Data publikacji:: 2003
Wydawca:: Politechnika Gdańska
Tematy:: artificial neural networks
neuron
learning process
topological conjugacy
gradient dynamical system
Euler method
Opis:: A mathematical model of architecture and learning processes of multilayer artificial neural netwoks is discussed in the paper. Dynamical systems theory is used to describe the learning precess of networks consisting of linear, weakly nonlinear and nonlinear neurons. Conjugacy between a gradient dynamical system with a constant time step and a cascade generated by its Euler method theorem is applied as well.
Źródło:: TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2003, 7, 1; 93-114
1428-6394
Pojawia się w:: TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Topological conjugacy of cascades generated by gradient flows on the two-dimensional sphere
Autorzy:: Bielecki, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/1208030.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: topological conjugacy
gradient dynamical system
Euler method
Opis:: This article presents a theorem about the topological conjugacy of a gradient dynamical system with a constant time step and the cascade generated by its Euler method. It is shown that on the two-dimensional sphere S² the gradient dynamical flow is, under some natural assumptions, correctly reproduced by the Euler method for a sufficiently small time step. This means that the time-map of the induced dynamical system is globally topologically conjugate to the discrete dynamical system obtained via the Euler method.
Źródło:: Annales Polonici Mathematici; 2000, 73, 1; 37-57
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

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